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Proof step 10 from proof getbar-union-01 (previous step)

⊦ bytevalues(getarray(r, 0, (st ∪ st0)[r -- _length] .intval, st ∪ st0)) = getbytearray(r, st0), r ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ rk ∈ st → (st ∪ st0)[rk] = st0[rk]
Proof step 9:
¬ r -- _length ∈ st ⊦ bytevalues(getarray(r, 0, st0[r -- _length] .intval, st ∪ st0)) = getbytearray(r, st0), r ∈ st

Rule argument

[speclemmaarg: ,¬ rk ∈ st → (st ∪ st0)[rk] = st0[rk] ,[rk, st0, st] → [r -- _length, st0, st] ,F ,storefunsx , ,union-at-right-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])], [EXTRATERMS : (r -- _length, st0, st)]]